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Finding the Third Proportional to 805,108 and 1,645,172

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Solution

The third proportional to 805,108 and 1,645,172 is: 3,361,773.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,108 : 1,645,172 = 1,645,172 : x
  2. Step 2: Convert to fraction form
    805,108/1,645,172 = 1,645,172/x
  3. Step 3: Cross multiply
    805,108x = 1,645,172 × 1,645,172
  4. Step 4: Simplify right side
    805,108x = 2,706,590,909,584
  5. Step 5: Solve for x
    x = 2,706,590,909,584/805,108
  6. Step 6: Final answer
    x = 3,361,773.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.